Geodesic
Symplectomorphism group relations and degenerations of Landau–Ginzburg models
Journal of the European Mathematical Society, Tome 18 (2016) no. 10, pp. 2167-2271

Voir la notice de l'article provenant de la source EMS Press

We describe explicit relations in the symplectomorphism groups of hypersurfaces in toric stacks. To define the elements involved, we construct a proper stack of these hypersurfaces whose boundary represents stable pair degenerations. Our relations arise through the study of the one-dimensional strata of this stack. The results are then examined from the perspective of homological mirror symmetry where we view sequences of relations as maximal degenerations of Landau–Ginzburg models. We then study the B-model mirror to these degenerations, which gives a new mirror symmetry approach to the minimal model program.
DOI : 10.4171/jems/640
Classification : 53-XX
Keywords: Homological mirror symmetry, symplectomorphisms, Landau–Ginzburg models, minimal model program, toric varieties 
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     author = {Colin Diemer and Ludmil Katzarkov and Gabriel Kerr},
     title = {Symplectomorphism group relations and degenerations of {Landau{\textendash}Ginzburg} models},
     journal = {Journal of the European Mathematical Society},
     pages = {2167--2271},
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     doi = {10.4171/jems/640},
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Colin Diemer; Ludmil Katzarkov; Gabriel Kerr. Symplectomorphism group relations and degenerations of Landau–Ginzburg models. Journal of the European Mathematical Society, Tome 18 (2016) no. 10, pp. 2167-2271. doi: 10.4171/jems/640

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